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Finding the Fourth Proportional to 705.05, 1,057.61 and 218.11

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Solution

The fourth proportional to 705.05, 1,057.61 and 218.11 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 1,057.61 = 218.11 : x
  2. Step 2: Convert to fraction form
    705.05/1,057.61 = 218.11/x
  3. Step 3: Cross multiply
    705.05x = 1,057.61 × 218.11
  4. Step 4: Simplify right side
    705.05x = 230,668.94
  5. Step 5: Solve for x
    x = 230,668.94/705.05
  6. Step 6: Final answer
    x = 327.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.